Study of the finite temperature transition in 3-flavor QCD using the R and RHMC algorithms

TL;DR

This study investigates the finite temperature phase transition in three-flavor QCD using R and RHMC algorithms on lattices with different temporal extents, providing estimates for the transition temperature and algorithm accuracy.

Contribution

It presents a detailed comparison of R and RHMC algorithms in simulating three-flavor QCD at finite temperature, including continuum limit estimates of the transition temperature.

Findings

Transition temperature in continuum limit: r_0 T_c=0.429(8).

No significant step-size errors observed with R and RHMC algorithms.

Consistent results across different lattice sizes and algorithms.

Abstract

We study the finite temperature transition in QCD with three flavors of equal masses using the R and RHMC algorithm on lattices with temporal extent N_{\tau}=4 and 6. For the transition temperature in the continuum limit we find r_0 T_c=0.429(8) for the light pseudo-scalar mass corresponding to the end point of the 1st order transition region. When comparing the results obtained with the R and RHMC algorithms for p4fat3 action we see no significant step-size errors down to a lightest pseudo-scalar mass of m_{ps} r_0=0.4.